X ~ N(50, 12). Suppose that you form random samples of 25 from this distribution. Let  X  be the random variable of averages. Let ΣX be the random variable of sums. 1 Give the distribution of  X.  (Enter an exact number as an integer, fraction, or decimal.) 2sketch the graph, shade the region, label and scale the horizontal axis for  X,  and find the probability. (Round your answer to four decimal places.) P(X < 50) =  3Find the 40th percentile. (Round your answer to two decimal places.)

Q: accompanying table. Complete parts a through c below. Ouserved (wice. in these observations are…

A: As the student wants solutions for band c, So,  submit those only.

Q: Solve for B 51, 44 outliers were wrong

A: 6163643245269744111031024596206229301551310280361246815917

Q: Let æ be normally distributed with mean μ = 36 and standard deviation o = 3. Use the given mean and…

A:

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: Given that:Z is standard normal Distributed with i.e. mean µ =0 and standard deviation σ =1 By using…

Q: The numbers of courses taught per semester by a random sample of university professors are shown in…

A: Given: The random variable X is the number of courses taught per semester by the university…

Q: Births are approximately uniformly distributed between the 52 weeks of the year. They can be said to…

A:

Q: The waiting times between a subway departure schedule and the arrival of a passenger are uniformly…

A: Given: Lower limit (a) = 0 Upper limit (b) = 7 Let X be uniform distribution representing the…

Q: Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard…

A: given data,normal distribution μ=105σ=15probabilty that selected asults has an IDQ score less than…

Q: Assume that 11% of Douglas College students are left-handed. Suppose you randomly select 100…

A: Given that n= number of observation= 100 p= probability of success= 11%=0.11 since each trial is…

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.3 and the…

A: Given data, μ=6.3σ=2.02n=6

Q: The manufacturer of a certain candy states that 13% of the candies are brown, 24% yellow, 14% red,…

A: by bartleby policy i can gives only 3 subparts at a time From given data we have : 13% brown 24%…

Q: d. - 2.69 <z< 1.06 P(- 2.69<zs 1.06) = e. - 2.02 < z<-0.93 P(- 2.02 < z<- 0.93) =

A:

Q: a. Calculate the mean of all the dilerent samples of n=2 measurements that can be selected from this…

A: Let N be the population size. Let n be the sample size. The number of samples selected by a simple…

Q: Choose the correct answer below.     A. The shape of the distribution is uniform because the bars…

A: We have given the statements about the  shape of the distribution.

Q: X~ N(70, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random…

A: a) Given that X~N(70,12). μx¯=μ=70σx¯=σn=1225=2.4 Hence, the correct option is 4th option.

Q: The time it takes a mechanic to change the oil on a car is uniformly distributed between 11 and 30…

A: Step 1: State the given: lower bound of distribution, a = 11upper bound of the distribution, b =…

Q: (d) If the sample size is n = 16, what is the standard deviation of the population from which the…

A: According to the information provided in the question, the sampling distribution of sample mean…

Q: ___ , ___ ) How many students are expected to attend their graduation? (Round your answer to the…

A: According to the sum, 85% of graduating students attend their graduation. A group of 25 graduating…

Q: Nine students took the SAT. Their scores are listed below. Later on, they took a preparation course…

A: It is given that:

Q: The sampling distribution of p, the proportion of groceries thrown out by your sample respondents is…

A: Solution-: Given: n=540,p=0.12 (Or 12%) we choose correct option in the following (a) not normal…

Q: Find the margin of error for the given values of c, s, and n. c= 0.95, s = 6, n = 7 Click the icon…

A: Confidence level= 95% significance level = 0.05 sample standard deviation , s = 6 sample size , n= 7…

Q: Find the margin of error for the given values of c, s, and n. c = 0.99, s 5, n=9 E Click the icon to…

A: we have given that  c= 0.99 ,s=5 ,n=9

Q: give exact answers using both fractions and exact decimals. One card is chosen from a set of cards…

A: Given that,                      From the given data the distribution function for picking the cards…

Q: Find the margin of error for the given values of c, s, and n. c=0.80, s 2.6, n 22 Click the icon to…

A: According to the given information, we have Sample size, n = 22 Confidence level = 0.80 Sample…

Q: A normal probability plot of data from a sample of a population is shown to the right. Assess the…

A: A normal probability plot is given for a sample data, the objective is to assess the normality of…

Q: Find the probability a randomly selected z-score is between -1.2 and 2.7. Round your result to 4…

A: Given that, Z scores are -1.2 and 2.7

Q: Use the distribution to find the probability of getting more than 2 correct when making random…

A:

Q: For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. a.…

A: The t table provides the area to the right of the t values corresponding to the degrees of…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: The standard normal variable is z, which follows the normal distribution with the mean of 0 and…

Q: Suppose that the weight of an newborn fawn is Uniformly distributed between 2.3 and 3.6 kg. Suppose…

A: b) standard deviation of uniform distribution =(b-a)^2 /12 b= 3.6 a=2.3  =1.69/40 = 0.140

Q: Find x₁ for x² distribution with 2 degrees of freedom. Xỏ.1 (Round the answer to 3 decimal places)

A: X follows chi-square distribution with 2 degrees of freedom

Q: (Extra credit) 14. Let X denote the number of times a control machine malfunctions: 1, 2, 3 on any…

A: a) The marginal probabilities are as follows:

Q: Find the variance of the binomial distribution for which n=800 and p=0.93. Round the answer to the…

A: Answer: -Here the random variable X has binomial distribution  With parameter   n = 800, p = 0.93…

Q: Find the margin of error for the given values of​ c, s, and n.   cequals=0.99 sequals=3.9 nequals=15…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.